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Finding the Fourth Proportional to 12,684.30, 17,510.46 and 8,442.42

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Solution

The fourth proportional to 12,684.30, 17,510.46 and 8,442.42 is: 11,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.30 : 17,510.46 = 8,442.42 : x
  2. Step 2: Convert to fraction form
    12,684.30/17,510.46 = 8,442.42/x
  3. Step 3: Cross multiply
    12,684.30x = 17,510.46 × 8,442.42
  4. Step 4: Simplify right side
    12,684.30x = 147,830,657.71
  5. Step 5: Solve for x
    x = 147,830,657.71/12,684.30
  6. Step 6: Final answer
    x = 11,654.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.